What is the Least Common Multiple of 13679 and 13698?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 13679 and 13698 is 187374942.
LCM(13679,13698) = 187374942
Least Common Multiple of 13679 and 13698 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13679 and 13698, than apply into the LCM equation.
GCF(13679,13698) = 1
LCM(13679,13698) = ( 13679 × 13698) / 1
LCM(13679,13698) = 187374942 / 1
LCM(13679,13698) = 187374942
Least Common Multiple (LCM) of 13679 and 13698 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13679 and 13698. First we will calculate the prime factors of 13679 and 13698.
Prime Factorization of 13679
Prime factors of 13679 are 13679. Prime factorization of 13679 in exponential form is:
13679 = 136791
Prime Factorization of 13698
Prime factors of 13698 are 2, 3, 761. Prime factorization of 13698 in exponential form is:
13698 = 21 × 32 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 13679 and 13698.
LCM(13679,13698) = 136791 × 21 × 32 × 7611
LCM(13679,13698) = 187374942
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